Pith Number

pith:VOIXCT6J

pith:2019:VOIXCT6JDXJPEY2AP6VQNR2A7I

not attested not anchored not stored refs pending

Commutators of potential type operators with Lipschitz symbols on variable Lebesgue spaces with different weights

Gladis Pradolini, Luciana Melchiori, Wilfredo Ramos

arxiv:1907.05946 v1 · 2019-07-12 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VOIXCT6JDXJPEY2AP6VQNR2A7I}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-17T23:40:42.919739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab91714fc91dd2f263407fab06c740fa22bf10b04290f7db4fe751e415f0ef83

Aliases

arxiv: 1907.05946 · arxiv_version: 1907.05946v1 · doi: 10.48550/arxiv.1907.05946 · pith_short_12: VOIXCT6JDXJP · pith_short_16: VOIXCT6JDXJPEY2A · pith_short_8: VOIXCT6J

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/VOIXCT6JDXJPEY2AP6VQNR2A7I \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: ab91714fc91dd2f263407fab06c740fa22bf10b04290f7db4fe751e415f0ef83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed348eadd0f9991c9d80d87658d33646dd8beefc8865578ebfe8f1f18b4c66e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-07-12T20:39:22Z",
    "title_canon_sha256": "6d96b38cd2fc8f037172dac383c084856d7adbb6b24622e1dcc35ee6b22d7292"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.05946",
    "kind": "arxiv",
    "version": 1
  }
}